38407 has 4 divisors (see below), whose sum is σ = 38800. Its totient is φ = 38016.

The previous prime is 38393. The next prime is 38431. The reversal of 38407 is 70483.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 70483 = 7 ⋅10069.

It is a cyclic number.

It is not a de Polignac number, because 38407 - 2¹⁵ = 5639 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (9700).

2³⁸⁴⁰⁷ is an apocalyptic number.

38407 is a deficient number, since it is larger than the sum of its proper divisors (393).

38407 is a wasteful number, since it uses less digits than its factorization.

38407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 38407 is about 195.9770394715. The cubic root of 38407 is about 33.7393564975.

The spelling of 38407 in words is "thirty-eight thousand, four hundred seven".